Question

Tentukan nilai y=x+13+x+23+x+33+...+x+1003! (Dengan caranya ya)

Answer 1

A=x+13
b=10
un=a+(n-1)b
(x+13)+(n-1)10=x+1.003
x+13+10n-10=x+1.003
3+10n=1.003
n=1.000/10=100

y= n/2(a+un)
=100/2(x+13 +(x+1.003)
= 50( 2x + 1.016)
= 100x + 50.800
atau y= 100(x +5.080)

Answer 2

Un = 10n+3
1003 = 10n + 3
1003-3 = 10n
1000 = 10n
n = 100
Sn = 5n²+8n
S100 = 5.(100)²+8(100) = 50800
y = 100x + 50800